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122130232332000 = 2535379369734847
BaseRepresentation
bin11011110001001110101001…
…000111010100111011100000
3121000102112110212201211010020
4123301032221013110323200
5112001440203434111000
61111425504300433440
734503422003224314
oct3361165107247340
9530375425654106
10122130232332000
1135a0716024a642
12118457a7848880
13531baa6a30409
1422231c5bc5b44
15e1bd4aa8aba0
hex6f13a91d4ee0

122130232332000 has 384 divisors, whose sum is σ = 405284403363840. Its totient is φ = 32146187673600.

The previous prime is 122130232331981. The next prime is 122130232332001. The reversal of 122130232332000 is 233232031221.

122130232332000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122130232332001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3504738577 + ... + 3504773423.

It is an arithmetic number, because the mean of its divisors is an integer number (1055428133760).

Almost surely, 2122130232332000 is an apocalyptic number.

122130232332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122130232332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202642201681920).

122130232332000 is an abundant number, since it is smaller than the sum of its proper divisors (283154171031840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122130232332000 is a wasteful number, since it uses less digits than its factorization.

122130232332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38651 (or 38633 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 122130232332000 its reverse (233232031221), we get a palindrome (122363464363221).

The spelling of 122130232332000 in words is "one hundred twenty-two trillion, one hundred thirty billion, two hundred thirty-two million, three hundred thirty-two thousand".